Criteria for univalent functions in the unit disk

DOI10.1007/S00013-012-0476-XzbMath1269.30016OpenAlexW2076323066MaRDI QIDQ1942311

Saminathan Ponnusamy, Obradović, Milutin

Publication date: 18 March 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0476-x

zbMATH Keywords

Schwarz lemmaanalytic functionunivalent functionstarlike functionclose-to-convex function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (5)

On a subclass of analytic functions satisfying a differential inequality ⋮ Some connections between class \(\mathcal U\)- and \(\alpha\)-convex functions ⋮ Sufficient conditions for univalence and study of a class of meromorphic univalent functions ⋮ The \(\mathcal{U}\)-radius for classes of analytic functions ⋮ On some conditions for schlichtness of analytic functions

Cites Work

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• Product of univalent functions
• Univalent functions with half-integral coefficients
• Univalence and starlikeness of certain transforms defined by convolution of analytic functions
• Coefficient characterization for certain classes of univalent functions
• New criteria and distortion theorems for univalent functions
• One Criterion for Univalency
• A Remark on Löwner's Theorem
• The Schwarzian Derivative and Univalent Functions
• Two theorems on schlicht functions

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